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Approximation by new Baskakov operators
Gulf Journal of MathematicsIn this paper, we discuss a uniform convergence and the error estimate for the second-order Baskakov operator with the maximal function of the Lipschitz type. A new type of Baskakov-type operator is constructed. We present some results on the convergence rate and Voronovskaja theorem of the new operator.
Fadhil, Ahmed, Hassan, Amal
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LINEAR COMBINATIONS OF SZÁSZ-BASKAKOV TYPE OPERATORS
Demonstratio Mathematica, 1999 Let \(H=\{f:\int^\infty_0|f(t) |(1+t)^{-n}dt 0\), then \[ \lim_{n\to \infty}n^{k+1} (B_n^{(r)} (f,k+1,x)- f^{(r)} (x))=\sum_{i=r}^{2k+r+2} f^{(i)}(x)Q(i,k,r,x), \] where \(B_n (f,k,x)= \sum^{j=k}_{j=0}C(j,k)Bd_jn(f,x)\), \(C(0,0)=1\), \(C(j,k)= \prod^k_{i=0,i \neq j}d_j(d_j-d_i)^{-1}\), \(d_0,d_1, \dots,d_k\) are arbitrary but fixed distinct positive ...
Agrawal, P. N., Thamer, Kareem J.
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On Baskakov operators preserving the exponential function
Journal of Numerical Analysis and Approximation Theory, 2017 In this paper, we are concerned about the King-type Baskakov operators defined by means of the preserving functions \(e_{0}\) and \(e^{2ax},\ a>0\) fixed. Using the modulus of continuity, we show the uniform convergence of new operators to \(f\). Also, by analyzing the asymptotic behavior of King-type operators with a Voronovskaya-type theorem,
Yilmaz, Övgü Gürel, Gupta, Vijay, Aral, Ali +2 more
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Two MarR-Type Repressors Balance Precursor Uptake and Glycine Betaine Synthesis in Bacillus subtilis to Provide Cytoprotection Against Sustained Osmotic Stress. [PDF]
Front Microbiol, 2020 Warmbold B, Ronzheimer S, Freibert SA, Seubert A, Hoffmann T, Bremer E. +5 more
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Search for production of four top quarks in final states with same-sign or multiple leptons in proton-proton collisions at s = 13 TeV. [PDF]
Eur Phys J C Part Fields, 2020 Sirunyan AM, Tumasyan A, Adam W, Ambrogi F, Bergauer T, Brandstetter J, Dragicevic M, Erö J, Del Valle AE, Flechl M, Frühwirth R, Jeitler M, Krammer N, Krätschmer I, Liko D, Madlener T, Mikulec I, Rad N, Schieck J, Schöfbeck R, Spanring M, Spitzbart D, Waltenberger W, Wulz CE, Zarucki M, Drugakov V, Mossolov V, Suarez Gonzalez J, Darwish MR, De Wolf EA, Di Croce D, Janssen X, Lelek A, Pieters M, Sfar HR, Van Haevermaet H, Van Mechelen P, Van Putte S, Van Remortel N, Blekman F, Bols ES, Chhibra SS, D'Hondt J, De Clercq J, Lontkovskyi D, Lowette S, Marchesini I, Moortgat S, Python Q, Skovpen K, Tavernier S, Van Doninck W, Van Mulders P, Beghin D, Bilin B, Brun H, Clerbaux B, De Lentdecker G, Delannoy H, Dorney B, Favart L, Grebenyuk A, Kalsi AK, Popov A, Postiau N, Starling E, Thomas L, Velde CV, Vanlaer P, Vannerom D, Cornelis T, Dobur D, Khvastunov I, Niedziela M, Roskas C, Trocino D, Tytgat M, Verbeke W, Vermassen B, Vit M, Zaganidis N, Bondu O, Bruno G, 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Aral, Ali, Erbay, Hasan
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Rocky Mountain Journal of Mathematics, 2009 The article is devoted to approximation by the following operators that are a certain type of Baskakov-Durrmeyer operators. For \(x\in[0,\infty)\) and \(\alpha>0\), \[ B_{n,\alpha}(f,x)= \sum_{k=1}^\infty p_{n,k,\alpha}(x) \int_0^\infty b_{n,k,\alpha}(t)f(t)\,dt +(1+\alpha x)^{-n/\alpha}f(0)= \int_0^\infty W_{n,\alpha}(x,t)f(t)\,dt, \] where \[ \begin ...
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